In the case of rankings, many measures of disarray has been studied in the literature. In the case of the Borda count method of voting, see [1]}, [2]} and [3]} for a description of this method, votes can be regarded as elements of permutations group \(S_{k}\)  (\(k\)  is a number of contestants). The best known measures of dissarray are Kendall's \(\tau \)  correlation coefficient and Spearman's \(\rho \)  correlation coefficient, see [4]}, as well as metric measures such as Kendall distance, Spearman distance, Hamming distance and Footrule distance, see [5]} and [6]}. The weighted versions of the Kendall distance and the Footrule distance were considered in [7]} and [8]}.
